A Geometric Approach to Free Boundary Problems

Authors: Luis Caffarelli, Sandro Salsa - Graduate studies in mathematics 2005 cited by 383

Elliptic problems: An introductory problem Viscosity solutions and their asymptotic developments The regularity of the free boundary Lipschitz free boundaries are $C^{1,\gamma}$ Flat free boundaries are Lipschitz Existence theory Evolution problems: Parabolic free boundary problems Lipschitz free boundaries: Weak results Lipschitz free boundaries: Strong results Flat free boundaries are smooth Complementary chapters: Main tools: Boundary behavior of harmonic functions Monotonicity formulas and applications Boundary behavior of caloric functions Bibliography Index.